| 1 | #include "erfa.h"
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| 2 |
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| 3 | double eraS06a(double date1, double date2)
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| 4 | /*
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| 5 | ** - - - - - - - -
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| 6 | ** e r a S 0 6 a
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| 7 | ** - - - - - - - -
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| 8 | **
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| 9 | ** The CIO locator s, positioning the Celestial Intermediate Origin on
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| 10 | ** the equator of the Celestial Intermediate Pole, using the IAU 2006
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| 11 | ** precession and IAU 2000A nutation models.
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| 12 | **
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| 13 | ** Given:
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| 14 | ** date1,date2 double TT as a 2-part Julian Date (Note 1)
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| 15 | **
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| 16 | ** Returned (function value):
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| 17 | ** double the CIO locator s in radians (Note 2)
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| 18 | **
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| 19 | ** Notes:
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| 20 | **
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| 21 | ** 1) The TT date date1+date2 is a Julian Date, apportioned in any
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| 22 | ** convenient way between the two arguments. For example,
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| 23 | ** JD(TT)=2450123.7 could be expressed in any of these ways,
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| 24 | ** among others:
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| 25 | **
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| 26 | ** date1 date2
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| 27 | **
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| 28 | ** 2450123.7 0.0 (JD method)
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| 29 | ** 2451545.0 -1421.3 (J2000 method)
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| 30 | ** 2400000.5 50123.2 (MJD method)
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| 31 | ** 2450123.5 0.2 (date & time method)
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| 32 | **
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| 33 | ** The JD method is the most natural and convenient to use in
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| 34 | ** cases where the loss of several decimal digits of resolution
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| 35 | ** is acceptable. The J2000 method is best matched to the way
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| 36 | ** the argument is handled internally and will deliver the
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| 37 | ** optimum resolution. The MJD method and the date & time methods
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| 38 | ** are both good compromises between resolution and convenience.
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| 39 | **
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| 40 | ** 2) The CIO locator s is the difference between the right ascensions
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| 41 | ** of the same point in two systems. The two systems are the GCRS
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| 42 | ** and the CIP,CIO, and the point is the ascending node of the
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| 43 | ** CIP equator. The CIO locator s remains a small fraction of
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| 44 | ** 1 arcsecond throughout 1900-2100.
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| 45 | **
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| 46 | ** 3) The series used to compute s is in fact for s+XY/2, where X and Y
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| 47 | ** are the x and y components of the CIP unit vector; this series is
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| 48 | ** more compact than a direct series for s would be. The present
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| 49 | ** function uses the full IAU 2000A nutation model when predicting
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| 50 | ** the CIP position.
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| 51 | **
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| 52 | ** Called:
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| 53 | ** eraPnm06a classical NPB matrix, IAU 2006/2000A
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| 54 | ** eraBpn2xy extract CIP X,Y coordinates from NPB matrix
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| 55 | ** eraS06 the CIO locator s, given X,Y, IAU 2006
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| 56 | **
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| 57 | ** References:
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| 58 | **
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| 59 | ** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P.,
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| 60 | ** "Expressions for the Celestial Intermediate Pole and Celestial
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| 61 | ** Ephemeris Origin consistent with the IAU 2000A precession-
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| 62 | ** nutation model", Astron.Astrophys. 400, 1145-1154 (2003)
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| 63 | **
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| 64 | ** n.b. The celestial ephemeris origin (CEO) was renamed "celestial
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| 65 | ** intermediate origin" (CIO) by IAU 2006 Resolution 2.
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| 66 | **
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| 67 | ** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855
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| 68 | **
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| 69 | ** McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003),
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| 70 | ** IERS Technical Note No. 32, BKG
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| 71 | **
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| 72 | ** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981
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| 73 | **
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| 74 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
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| 75 | ** Derived, with permission, from the SOFA library. See notes at end of file.
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| 76 | */
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| 77 | {
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| 78 | double rnpb[3][3], x, y, s;
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| 79 |
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| 80 |
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| 81 | /* Bias-precession-nutation-matrix, IAU 20006/2000A. */
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| 82 | eraPnm06a(date1, date2, rnpb);
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| 83 |
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| 84 | /* Extract the CIP coordinates. */
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| 85 | eraBpn2xy(rnpb, &x, &y);
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| 86 |
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| 87 | /* Compute the CIO locator s, given the CIP coordinates. */
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| 88 | s = eraS06(date1, date2, x, y);
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| 89 |
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| 90 | return s;
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| 91 |
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| 92 | }
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| 93 | /*----------------------------------------------------------------------
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| 94 | **
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| 95 | **
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| 96 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
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| 97 | ** All rights reserved.
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| 98 | **
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| 99 | ** This library is derived, with permission, from the International
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| 100 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
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| 101 | ** available from http://www.iausofa.org.
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| 102 | **
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| 103 | ** The ERFA version is intended to retain identical functionality to
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| 104 | ** the SOFA library, but made distinct through different function and
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| 105 | ** file names, as set out in the SOFA license conditions. The SOFA
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| 106 | ** original has a role as a reference standard for the IAU and IERS,
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| 107 | ** and consequently redistribution is permitted only in its unaltered
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| 108 | ** state. The ERFA version is not subject to this restriction and
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| 109 | ** therefore can be included in distributions which do not support the
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| 110 | ** concept of "read only" software.
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| 111 | **
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| 112 | ** Although the intent is to replicate the SOFA API (other than
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| 113 | ** replacement of prefix names) and results (with the exception of
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| 114 | ** bugs; any that are discovered will be fixed), SOFA is not
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| 115 | ** responsible for any errors found in this version of the library.
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| 116 | **
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| 117 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
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| 118 | ** that you are using a library derived from SOFA, rather than SOFA
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| 119 | ** itself.
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| 120 | **
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| 121 | **
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| 122 | ** TERMS AND CONDITIONS
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| 123 | **
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| 124 | ** Redistribution and use in source and binary forms, with or without
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| 125 | ** modification, are permitted provided that the following conditions
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| 126 | ** are met:
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| 127 | **
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| 128 | ** 1 Redistributions of source code must retain the above copyright
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| 129 | ** notice, this list of conditions and the following disclaimer.
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| 130 | **
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| 131 | ** 2 Redistributions in binary form must reproduce the above copyright
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| 132 | ** notice, this list of conditions and the following disclaimer in
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| 133 | ** the documentation and/or other materials provided with the
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| 134 | ** distribution.
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| 135 | **
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| 136 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
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| 137 | ** the International Astronomical Union nor the names of its
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| 138 | ** contributors may be used to endorse or promote products derived
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| 139 | ** from this software without specific prior written permission.
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| 140 | **
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| 141 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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| 142 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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| 143 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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| 144 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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| 145 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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| 146 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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| 147 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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| 148 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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| 149 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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| 150 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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| 151 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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| 152 | ** POSSIBILITY OF SUCH DAMAGE.
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| 153 | **
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| 154 | */
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